I've had great luck with Hydrogen Peroxide on copper coins.
Yours looks to be the soft type of green gunk, so it should come out pretty easy with a soak.
I can't tell you how long it will take, but as a rule of thumb I check a soaking copper about every 15 minutes.
Also, I find shot glasses make very nice cleaning containers.
Oh, if you have a coin that has the green stuff impregnated into the metal within the details, don't bother soaking it.
If you do, it will eat away details and all.
It is best to leave the coin the way it is.
I learned the hard way.
I hope that helps a little.